Home » Algebraic geometry
January 12, 2009 to May 22, 2009
William Fulton (University of Michigan), Joe Harris (Harvard University), Brendan Hassett (Rice University), János Kollár (Princeton University), Sándor Kovács* (University of Washington), Robert Lazarsfeld (University of Michigan), and Ravi Vakil (Stanford University)
Algebraic geometry has long been a central subject, with deep and substantial connections to almost every aspect of modern mathematics. There are numerous different approaches to the field, utilizing widely varying technical tools: Commutative algebra, complex analysis, sheaf theory, cohomological methods, and combinatorial techniques all play important roles.
This multiplicity of techniques and interconnections creates a conundrum for the student of algebraic geometry: How can I learn all the specific tools of the trade, while at the same time developing an overall sense for what guides the subject? Even established researchers can feel powerful centrifugal forces pulling at the field, as it spawns new specialties with astonishing regularity.
In Spring 2009, the Mathematical Sciences Research Institute will sponsor a program on algebraic geometry, emphasizing cross-fertilization between different areas, including classical and complex algebraic geometry, linear series techniques, moduli spaces, enumerative geometry, varieties with group actions, birational geometry, rational curves on algebraic varieties, and classification theory. The full resources of MSRI will be devoted to a comprehensive discussion of these topics. The organizers hope to convey the essential unity of the subject, especially to young researchers and established mathematicians in other fields who use algebraic geometry in their research.
More program information can be found on the Organizers' website.
Presentation materials from talks given by postdoctoral members January 14-16, 2009.
Daniel Erman's notes from the March 13 problem session (PDF 154KB)
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